257949 has 6 divisors (see below), whose sum is σ = 372606. Its totient is φ = 171960.

The previous prime is 257947. The next prime is 257953. The reversal of 257949 is 949752.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 900 = 507^2 + 30^2 .

It is not a de Polignac number, because 257949 - 2¹ = 257947 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14322 + ... + 14339.

It is an arithmetic number, because the mean of its divisors is an integer number (62101).

2²⁵⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

257949 is a deficient number, since it is larger than the sum of its proper divisors (114657).

257949 is a wasteful number, since it uses less digits than its factorization.

257949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28667 (or 28664 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 257949 is about 507.8867984108. The cubic root of 257949 is about 63.6567726128.

It can be divided in two parts, 2579 and 49, that added together give a triangular number (2628 = T₇₂).

The spelling of 257949 in words is "two hundred fifty-seven thousand, nine hundred forty-nine".